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The Sub-Mesh Penalty Method

Arthur Sarthou , Stéphane Vincent , Philippe Angot , Jean-Paul Caltagirone
5th International Symposium on Finite Volumes for Complex Applications, Jun 2008, Aussois, France. pp.633
Conference papers hal-00390080v1

Discrete Hodge Helmoltz Decomposition

Etienne Ahusborde , M. Azaïez , J.P.  Caltagirone , M.  Gerritsma , A. Lemoine
Monografías Matemáticas "García de Galdeano",, 2014, 39, pp.1--10
Journal articles hal-01051778v1
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The algebraic immersed interface and boundary method for elliptic equations with jump conditions

Arthur Sarthou , Stéphane Vincent , Philippe Angot , Jean-Paul Caltagirone
Preprints, Working Papers, ... hal-00390075v3

High performance computing for partial differential equations

R. Gruber , Etienne Ahusborde , M. Azaïez , V. Keller , J. Latt
Computers and Fluids, 2011, 43 (1), pp.68-73
Journal articles hal-00861284v1
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Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach

Stephanie Delage Santacreu , Stéphane Vincent , J.P. Caltagirone
Journal of Scientific Computing, 2009, 41 (2), pp.221-237. ⟨10.1007/s10915-009-9294-0⟩
Journal articles istex hal-00395782v1
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A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces

Mathieu Coquerelle , Stéphane Glockner
Preprints, Working Papers, ... hal-01096742v2
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Augmented Lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. Application to hydroplaning flows interacting with real tire tread patterns

Vincent Stéphane , Arthur Sarthou , Jean-Paul Caltagirone , Sonilhac Fabien , Février Pierre , et al.
Journal of Computational Physics, 2011, 230 (4), pp.956-983. ⟨10.1016/⟩
Journal articles hal-00424018v2
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A fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier-Stokes problems

Philippe Angot , Jean-Paul Caltagirone , Pierre Fabrie
Applied Mathematics Letters, 2012, 25 (11), pp.1681--1688. ⟨10.1016/j.aml.2012.01.037⟩
Journal articles hal-00667121v1

Discrete Hodge Helmoltz Decomposition

Etienne Ahusborde , M.  Azaïez , A.  Lemoine , M. Gerritsma
Twelfth International Conference Zaragoza-Pau on Mathematics, 2012, Saragosse, Spain
Conference papers hal-00868296v1
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Méthodes Spectrales et des Eléments Spectraux

Mejdi Azaïez , Monique Dauge , Yvon Maday
DEA. Cours de DEA intensif décentralisé, Nantes, 1993, pp.87
Lectures cel-00702637v2

Numerical Simulation of the Wave Equation with Discontinuous Coefficients by Nonconforming Finite Elements

Mejdi Azaïez , Faker Ben Belgacem , Henda El Fekih , Mourad Ismail
Numerical Methods for Partial Differential Equations, 1999, 15, pp.637-656
Journal articles hal-00666215v1
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Fast discrete Helmholtz-Hodge decompositions in bounded domains

Philippe Angot , Jean-Paul Caltagirone , Pierre Fabrie
Applied Mathematics Letters, 2013, 26 (4), pp.445--451. ⟨10.1016/j.aml.2012.11.006⟩
Journal articles hal-00756959v1

An implicit method for the Navier-Stokes equations on overlapping Block-structured grids

Etienne Ahusborde , S. Glockner
International Journal for Numerical Methods in Fluids, 2010, 62 (7), pp.784-801
Journal articles hal-00861294v1

An iterative domain decomposition algorithm for the grad(div) operator

Etienne Ahusborde , M. Azaïez , M.O. Deville , E.H. Mund
Communications in Computational Physics, 2009, 5 (2-4), pp.391-397
Journal articles hal-00861296v1

Calcul de spectre sous contraintes : Cas de l'opérateur grad(div(.))

M. Azaïez , Etienne Ahusborde
Congrès français de mécanique, Août 2009, Marseille, France., 2009, Unknown, 6 p
Conference papers hal-00865777v1

Open and traction boundary conditions for velocity correction scheme for Navier-Stokes

A.  Poux , S.  Glockner , Etienne Ahusborde , M. Azaïez
Computers and Fluids, 2012, 70, pp.29--43
Journal articles hal-00868275v1
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A global procedure for flow and heat transfer simulation with complex obstacles on curvilinear grids

Arthur Sarthou , Stéphane Vincent , Jean-Paul Caltagirone , Philippe Angot
Preprints, Working Papers, ... hal-00405273v1

Thermal characterization of heterogeneous materials : phases and interfaces recognition

A.  Godin , E.  Palomo del Barrio , M.  Azaiez , Etienne Ahusborde , J.L. Dauvergne
Third international Conference on Porous Media, Mars 2011, Bordeaux, France., 2011, Unknown
Conference papers hal-00867144v1

Discrete Hodge Helmoltz Decomposition

Etienne Ahusborde , M.  Azaïez , A.  Lemoine , M. Gerritsma
International Conference On Spectral and High Order Methods-ICOSAHOM, Jun 2012, Gammarth, Tunisia
Conference papers hal-00868295v1

Mercer's Spectral Decomposition for the Characterization of Thermal Parameters

Etienne Ahusborde , M. Azaïez , F.  Ben Belgacem , E. Palomo del Barrio
Journal of Computational Physics, 2015, 294, pp.1--19
Journal articles hal-01201979v1


Etienne Ahusborde , M. Azaïez , R. Gruber
ICNAAM-2010, 2010, Rhodes, Greece. pp.1317-1320
Conference papers hal-00861355v1

A Contribution to the Outflow Boundary Conditions for Navier-Stokes Time-Splitting Methods

Etienne Ahusborde , M. Azaïez , S.  Glockner , Alexandre Poux
Lecture Notes in Computational Science and Engineering, 2014, 95, pp.75--86
Journal articles hal-01051780v1
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A second-order curvilinear to Cartesian transformation of immersed interfaces and boundaries. Application to fictitious domains and multiphase flows

Arthur Sarthou , Stéphane Vincent , Jean-Paul Caltagirone
Computers and Fluids, 2010, 46 (1), pp.422-428. ⟨10.1016/j.compfluid.2010.11.008⟩
Journal articles hal-00479705v1

Flow fields and particle trajectories beneath a tidal bore: A numerical study

Adrien Berchet , Bruno Simon , Anthony Beaudoin , Pierre Lubin , Germain Rousseaux , et al.
International Journal of Sediment Research, 2018, 33 (3), pp.351-370. ⟨10.1016/j.ijsrc.2018.03.001⟩
Journal articles hal-02315510v1

A Mathematical Representation for Mechanical Model Assessment: Numerical Model Qualification Method

Keny Ordaz-Hernandez , Xavier Fischer , Fouad Bennis
International Journal of Mathematics Sciences, 2007, 1 (4), pp.216--226
Journal articles hal-00173999v1

Multiphase flow simulations in a block-structured framework

S. Glockner , Etienne Ahusborde
High Accuracy Flow Simulations, Février 2010, Lausanne, Suisse., 2010, Unknown
Conference papers hal-00867146v1

A contribution to the outflow boundary conditions for Navier-Stokes time-splitting methods (soumis)

Etienne Ahusborde , M. Azaïez , S. Glockner , Alexandre Poux
International Conference On Spectral and High Order Methods, 2012, Unknown
Conference papers hal-00868294v1
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Modeling macroscopic unsteady inertial flow in porous media should take into account the process history

Francisco J. Valdès-Parada , Didier Lasseux , Fabien Bellet
AGU Fall Meeting, 2019, San Francisco, United States
Conference poster hal-02876113v1

A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method

Stephanie Delage Santacreu , J.P. Caltagirone , Vincent Stéphane
Journal of Computational and Applied Mathematics, 2006, 191 (2), pp.280-296. ⟨10.1016/⟩
Journal articles hal-00395825v1
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The mortar spectral element method in domains of operators Part II: The curl operator and the vector potential problem

Mjedi Azaïez , Faker Ben Belgacem , Christine Bernardi , Mohammed El Rhabi
Annali di Matematica Pura ed Applicata, 2008, 187 (3), pp.405-433. ⟨10.1007/s10231-007-0049-y⟩
Journal articles hal-00112170v1